Answer:
depends how much they cost each
In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.
Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.
An increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 16(1 + 0.02)^t[/tex]
[tex]A(t) = 16(1.02)^t[/tex]
It will be 30 million after t years, for which A(t) = 30, hence:
[tex]A(t) = 16(1.02)^t[/tex]
[tex]30 = 16(1.02)^t[/tex]
[tex](1.02)^t = \frac{30}{16}[/tex]
[tex](1.02)^t = 1.875[/tex]
[tex]\log{(1.02)^t} = \log{1.875}[/tex]
[tex]t\log{1.02} = \log{1.875}[/tex]
[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]
[tex]t = 31.7[/tex]
It will take 31.7 years for the state's population to be of at least 30 million people.
A similar problem is given at https://brainly.com/question/14773454
given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?
Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
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A digital music service sells 12 songs for $9. 96. At this rate, how many songs can you purchase for $4. 15?.
how do i do all these problems i don't understand surface area?the paper is named volume and surface area of composite figures plz tell me a easy way im in class
Answer:
gud luk 4 class
Step-by-step explanation:
volume = all the sides times together
surface area = all side's area plus together
Which of the following is the equation of a line that passes through the point
(1.2) and is parallel to the x-axis?
A. y = 1
B. y = 2
C. x = 1
D. X = 2
Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2 for every point on this line and that is the equation of the line.
Step-by-step explanation i Hope this helps
What is 564.2+3.006-1.6?
Answer:
565.606, is shown step by step in the picture
What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?
Answer:
slope intercept is y=mx+b where m is the slope and b is the y intercept
so the slope is 2 and the y intercept is 5 so the equation is y=2x+5
Step-by-step explanation:
The table shows information about all students in a Year 7 form class.
Age 11 Age 12 Total
Girls 8 9 17
Boys 8 10 18
Total 16 19 35
A student is selected at random from the register.
Find the probability of selecting a boy.
Give your answer in its simplest form.
Answer:
18/35
Step-by-step explanation:
favorable cases (in this case they are the boys, so 18) divided by possible cases (every student).
Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
Show Your Work
You have responded to 5 of 8 questions. 1 response is missing a drawing
Submit
OMG
_________
2² × 3² = ....
Answer:
24
Step-by-step explanation:
First Step:
2² × 3² =
Second Step:
4 × 3² =
Third Step:
4 × 6 = 24
2 × 2 = 4
3 × 3 = 9
4 × 9 = 36
hence , your ans is 36
What substitution should be used to rewrite x10−13x5+12=0 as a quadratic equation?
u=x10
u=x2
u=x5
u=x20
Answer:
C
Step-by-step explanation:
put x^5=u
Answer:
[tex]u=x^{5}[/tex]
Step-by-step explanation:
[tex]x^{10} - 13x^{5} + 12 = 0\\\\(x^{5})^{2} - 13x^{5} + 12 = 0\\\\u^{2}-13u+12=0[/tex]
At the market you spent $21 for 5 bags of chips and 3 bottles of mango juice. Your buddy
spent $12 for 2 bags of chips and 3 bottles of mango juice. How much does each item cost?
Answer:
$2 for each bottle of mango juice and 3$ for each bag of chips
Step-by-step explanation:
hope it can help you lovelots
If x = 5, find the value of
a) x2
b) (x + 3)^2.
the 2 is meant to be squared
Answer:
a)since x=5
x²= 5×5
=25
b)(x+3)²
x=5
5+3=8
8²=8×8
=64
Soo :
a) x² = 5² = 5•5 = 25
b) (x + 3)² = (5 + 3)² = 8² = 8•8 = 64
Based on the information marked in the diagram, AMNP and AQRS must be
congruent.
N
R
ма
P
A. True
B. False
Answer:
Yes, it is true by AAS theorem.
The triangles ΔMNP and ΔQRS are congruent triangles
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be ΔMNP
Now , let the second triangle be ΔQRS
where the measure of angle ∠MNP = measure of angle ∠QRS = 90°
And , the measure of side NP = measure of side RS
And , the measure of ∠NPM = measure of angle ∠RSQ
So , two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Hence , the triangles are congruent by ASA theorem
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Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point
Please help. Thank you!
Answer: 6.33 cups of flour
Step-by-step explanation:
The ratio of cups of cashews to cups of flour is 4:5. We can set this as a ratio: (4 cups cashews)/(5 cups flour).
If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio: (5 cups fluor)/(4 cups cashews)
(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.
There are 412 eighth-grade students at a middle school.
• About of the eighth-grade students ride the bus.
• Of the eighth-grade students that ride the bus, are females.
Approximately how many eighth-grade students that ride the bus ?are
male?
A 110
B. 140
C. 165
D. 275
Answer:
I cant see the numbers...
Step-by-step explanation:
Sorry! I can tell you the answer if you comment on this post.
Please see help, please
Answer:
69
Step-by-step explanation:
420
a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv
Answer:
the sale price of tv is 1620
Step-by-step explanation:
9/100 because full percentage is from 100%
9/100 x 18000
cut 00 from 18000
we will cut it because 100 also have two 0 and 18000 we will cut two 0
next it will be = 9/1 x 180 one is nothing no so it will be
9 x180 answer = 620
plz mark me as brainliest
(X-1)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² -2ab + b²
Here, a = x and b = 1
(x -1)² = x² - 2 * x *1 + 1²
= x² - 2x + 1
[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]
[tex]\sf \longmapsto(x+1)(x+1)[/tex]
[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]
[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]
[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]
[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]
the weight in pounds of a newborn baby t months after birth can be modeled by the equation W=t+7. what is the y-intercept of the equation and what is its interpretation in the context of the problem
Answer:
y intercept = (0,7) , it is the weight of a newborn at birth/ before any months have passed
Step-by-step explanation:
in this equation:
weight= t(months) + 7
this is an equation written as y=mx +b
in a line equation like this b is the y intercept , or the y value when x=0
in this problem when x=0 it means that 0 months have passed , i.e. the baby is a newborn
The amount of oil it takes to cover the bottom of a frying pan.
Answer:
about 1 cup maybe less
Step-by-step explanation:
11/12 x 24 + 16/3 - 9/4 =
Answer:
301/12Step-by-step explanation:
Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?
Answer:
19
Step-by-step explanation:
3 boards that are 12 feet long = 38÷2=19
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for the area of the enclosed space is A = lw + 0.5bh. Solve for b.
Answer:
You need more information for this question to be solved.
Step-by-step explanation:
Are any of the variables given?
help please i need help
Answer:
what do you need help on with this and maybe i can help....
Step-by-step explanation:
Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.
Answer:
(x-6)(x+6) pairs with x^2-36
9x^2-1 pairs with (3x-1)(3x+1)
4(x+2)(x-2) pairs with 4x^2-16
Step-by-step explanation:
IM FAILLING PLZ HELPPPPP MEEEE
Answer: (x+ 13, y+13)
Step-by-step explanation:
find the percentage change and classify as an increase or decrease
2004 cost: $18.77
2006 cost: $19.17
Answer:
this is 2% increase
Step-by-step explanation:
to find percent change,
big - small
---------------
original
19.17-18.77
-------------- = 0.021
18.77
round: 0.02 or 2%
find the unit rate for this problem
45 tacos for 15 people ______ to is per person
No link please!!!
Answer:
45/15 = 3
Step-by-step explanation:
3 tacos per person
Answer:
3 tacos for 1 person
Step-by-step explanation:
45 tacos / 15 people
Divide the top and bottom by 15
(45/15) / ( 15/15)= 3/1
3 tacos for 1 person